MASSACHUSETTS INSTITUTE OF TECHNOLOGY
Department of Electrical Engineering and Computer Science
6.013 Electromagnetics and Applications
Problem Set 6 (five problems)
Suggested Reading:
Course notes, S
3.012 STATISTICAL MECHANICS practice problems
Issued: 12.14.05
3.012
Fall 2005
1. Engel and Reid, P31.12.
2. Engel and Reid, P31.13.
3. Engel and Reid, P31.19.
4. Engel and Reid, P31.20.
5. Engel and
of them with its corresponding eigenfunction. Can you describe what is happening for E
lesser than zero ? Do we still have eigenstates ? What happens when E is not an eigenvalue
? Note that the applet
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
Department of Electrical Engineering and Computer Science
6.013 Electromagnetics and Applications
Problem Set 7 (five problems)
Suggested Reading:
Course notes:
S
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
DepartmentofElectricalEngineeringandComputerScience
6.013 Electromagnetics and Applications
Problem Set 9 (four problems)
Suggested Reading:
Coursenotes: Sections
m1
l
m2
r
O
(t)K
Izz
O
rod
IG =
1
m1 l2
12
disk
IG =
1
m2 r2
2
O
"
# "
#
2
2
l
1
l
1
2
2
IO = m1
+ m1 l + m 2
+ m2 r
2
12
2
2
1
IO = m1 l2 + m2
3
l2
r2
+
2
4
~
H O = IO ! = I O k
X
(t)
1
m 1 l 2
Problem Set 9 Solutions
Problem 9.1
a)
The waveguide will propagate only one mode in the frequency range between the two lowest cuto frequencies.
The cuto frequency for the T E10 (which is the mode wi
Problem Set 7 Solutions
Problem 7.1
(a)
(i) For an air lled line we know that the propagation velocity is c . Looking at the gure we see the
distance between adjacent voltage minima is A, so the wavel
3.012 PS 1
Issued: 09.09.05
Due: 09.20.05
3.012
Fall 05
No plagiarism allowed: see the handbook for students at http:/web.mit.edu/due/handbook.pdf . On
the other hand, you should feel free to consult